Lesson DE4-DE6

DE4-DE6 Refining models, Gantt charts and resource levelling Quiz: AQA Further Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson DE4-DE6, Refining models, Gantt charts and resource levelling: 20 multiple choice questions for the AQA Further Maths (7367), Unit 5: Optional application 3: discrete mathematics, written with Revision Ninja.

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The 20 questions

  1. What type of diagram displays project activities as horizontal bars along a time axis?

    • Network diagram
    • Distance-time graph
    • Gantt chart
    • Resource histogram

  2. What chart shows total resource demand over time for a project schedule?

    • Precedence network
    • Resource histogram
    • Activity box
    • Gantt chart

  3. What process uses float to smooth out resource demand without delaying a project?

    • Resource levelling
    • Backward pass
    • Forward pass
    • Crash analysis

  4. What type of solution does a heuristic method produce in resource levelling?

    • Worst-case bounds only
    • Guaranteed optimal solution
    • Mathematically exact solution
    • Good but non-optimal

  5. How should a critical path model be refined if real-world resource availability is limited?

    • Add resource limits
    • Increase float times
    • Remove dependency arcs
    • Reduce activity durations

  6. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). Workers: A 2, B 1, C 2, D 2, E 1, all started at earliest start times. What is the earliest time at which activity E can start in the early start schedule?

    • Time 5
    • Time 9
    • Time 4
    • Time 12

  7. In an early-start Gantt chart, how is total float typically represented for an activity?

    • Dotted arrow
    • Shaded box
    • Vertical bar
    • Line extension

  8. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). Workers: A 2, B 1, C 2, D 2, E 1, all started at earliest start times. What is the peak number of workers needed at any time in the early start schedule?

    • 6
    • 4
    • 3
    • 5

  9. Activities C and D overlap between times 4 and 5. In which interval is peak demand?

    • Times 4 to 5
    • Times 0 to 3
    • Times 5 to 9
    • Times 3 to 4

  10. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). Workers: A 2, B 1, C 2, D 2, E 1, all started at earliest start times. What is the total number of worker-days needed for the whole project?

    • 12
    • 27
    • 30
    • 24

  11. Why is a non-critical activity moved later within its total float during resource levelling?

    • Decrease duration
    • Reduce peak demand
    • Increase total float
    • Extend project length

  12. If peak demand is 4 workers but only 3 are available, what is the schedule?

    • Levellable
    • Critical
    • Optimal
    • Infeasible

  13. What happens to the overall project duration if a critical activity is delayed?

    • Float increases
    • Duration increases
    • Duration decreases
    • Duration stays unchanged

  14. During resource levelling without delaying the project, an activity must be shifted within what?

    • Its total float
    • Its worker allocation
    • Its late finish
    • Its duration

  15. What total float value is shown on a Gantt chart for a critical activity?

    • Positive
    • Variable
    • Infinite
    • Zero

  16. If a project model incorrectly assumes a worker can perform two parallel tasks, what refinement is needed?

    • Ignore overlap
    • Increase float
    • Add worker constraints
    • Reduce task durations

  17. What is the primary purpose of constructing a resource histogram in critical path analysis?

    • Identify resource overloads
    • Estimate activity costs
    • Calculate project float
    • Find critical path

  18. Activity D needs 2 workers for 5 days. How many worker-days does D require?

    • 5
    • 10
    • 2
    • 7

  19. Two parallel activities need 3 workers each, but only 4 exist. What action is required?

    • Halve worker demand
    • Combine both activities
    • Delay one activity
    • Cancel the project

  20. What is a key feature of heuristic resource levelling?

    • Gives practical schedules
    • Changes precedence relations
    • Guarantees optimal schedules
    • Ignores resource limits

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